Deportations not 'fair dinkum': Ardern

Australia's deportation of criminals with almost no connection to New Zealand isn't "fair dinkum" and Kiwi Prime Minister Jacinda Ardern says she won't let the issue go.

New Zealanders who moved to Australia as toddlers and grew up to commit crimes have been regularly dumped back over the ditch, sparking anger from cross-Tasman neighbours.

Ms Ardern on Friday raised the issue yet again in a meeting with Prime Minister Scott Morrison in Melbourne, where they also discussed regional cooperation and business links.

"New Zealanders look at this policy and think 'that's not fair dinkum'," she told reporters of the Australian deportation process.

Mr Morrison made it clear the policy will not change, but Ms Ardern said she will keep raising it.

"New Zealand absolutely accepts that Australia is within its right to deport those who have engaged in criminal activity in Australia," she said.

"However, there are examples, what I would call on the more extreme end, where individuals have little to no connection at all to New Zealand, who have for all intents and purposes grown up in Australia, and those are the cases we continue to raise at every level."

Leaving the meeting, Mr Morrison did not answer a question on the deportation issue.

"Progress for a lot of issues today. It was wonderful ... it's always a great relationship," he told reporters.

A government spokesman told AAP there were no plans to change the policy.

Earlier, Home Affairs Minister Peter Dutton said it doesn't matter where someone comes from - if they commit serious crimes they will be deported.

"Where people are sexually offending against children for example, we have had a big push to try and deport those paedophiles," Mr Dutton told Nine's Today Show.

Labor leader Anthony Albanese said he has no plans to change the policy either.

The leaders also talked about business ties, including new e-invoicing opportunities, and the difficulties Kiwis face getting Australian citizenship.

At the start of the meeting Mr Morrison acknowledged the strength of the two nations' relationship, noting "we've got a number of issues we're just moving along and keeping in contact with".

Ms Ardern congratulated Mr Morrison on his election victory and acknowledged the pair's close contact.

"In the wake of Christchurch, the statement at the G20, the discussions about deployments - I really value the fact that neither of us hesitates to pick up the phone so I just want to acknowledge that," Ms Ardern said.

There was laughter and banter for the cameras and reference to Australia's support for NZ in the final of the recent Cricket World Cup.

"I'm not sure if New Zealand would have done the same if the role had been reversed," she quipped.